// combos · counted flop

Q♥ J♥ T♣: combos by range

How many sets, two pair, top pairs and draws each of four stated ranges holds on Q♥ J♥ T♣, next to any two cards. Every combo is dealt against the deck with the flop removed; nothing is sampled.

Flop

Q♥J♥T♣

Texture

broadway, two-tone

Nit: two pair+62.5%25 of 40 combos

Calling Station: two pair+25.1%49 of 195 combos

Maniac: two pair+21.7%60 of 277 combos

Reg: two pair+25.4%36 of 142 combos

On Q♥ J♥ T♣, the wettest high board: straights, sets and flush draws all at once. Counted exactly, the Nit arrives with the most two pair or better (62.5% of its live combos) and the Maniac the least (21.7%). Any two cards make two pair or better 7.1% of the time: the baseline a range is above or below on this board. The Maniac misses most often: 3.2% of its combos have no pair and no draw. The Maniac holds the most draws without a pair (19.9%).

Every bucket, every range

Live combos by made hand on Q♥ J♥ T♣
What they hold	Nit	Calling Station	Maniac	Reg	Any two cards
Two pair or better	25 62.5%	49 25.1%	60 21.7%	36 25.4%	84 7.1%
Straight	16 40.0%	20 10.3%	24 8.7%	20 14.1%	48 4.1%
Set	9 22.5%	9 4.6%	9 3.2%	9 6.3%	9 0.8%
Two pair	–	20 10.3%	27 9.7%	7 4.9%	27 2.3%
One pair	15 37.5%	126 64.6%	153 55.2%	90 63.4%	420 35.7%
Overpair	12 30.0%	12 6.2%	12 4.3%	12 8.5%	12 1.0%
Top pair	3 7.5%	24 12.3%	27 9.7%	24 16.9%	120 10.2%
Pocket pair below the top card	–	48 24.6%	48 17.3%	30 21.1%	48 4.1%
Second pair or lower	–	42 21.5%	66 23.8%	24 16.9%	240 20.4%
Draws, no pair	–	14 7.2%	55 19.9%	13 9.2%	447 38.0%
Flush draw + straight draw	–	2 1.0%	3 1.1%	–	15 1.3%
Flush draw	–	3 1.5%	10 3.6%	4 2.8%	27 2.3%
Open-ended straight draw	–	6 3.1%	21 7.6%	–	225 19.1%
Gutshot	–	3 1.5%	21 7.6%	9 6.3%	180 15.3%
No pair, no draw	–	6 3.1%	9 3.2%	3 2.1%	225 19.1%
Nothing	–	6 3.1%	9 3.2%	3 2.1%	225 19.1%
Live combos	40 of 50	195 of 242	277 of 338	142 of 172	1176 of 1326

Count, then share of that range’s live combos. Each combo sits in its strongest bucket only. Set combos across the stated ranges: Nit 9, Calling Station 9, Maniac 9, Reg 9.

The deck-wide counting

Before any range comes into it, the board fixes how many combos of the big hands exist at all. Each board card leaves three of its rank in the deck:

QQ: 3 queens left, C(3, 2) = 3 combos of a set
JJ: 3 jacks left, C(3, 2) = 3 combos of a set
TT: 3 tens left, C(3, 2) = 3 combos of a set
QJ: 3 × 3 = 9 combos of two pair
QT: 3 × 3 = 9 combos of two pair
JT: 3 × 3 = 9 combos of two pair

Which hands, range by range

Nit: 40 live combos

Straight 16: AKs ×4AKo ×12
Set 9: QQ ×3JJ ×3TT ×3
Overpair 12: AA ×6KK ×6
Top pair 3: AQs ×3

Open this in the counter to add your own hand as blockers.

Calling Station: 195 live combos

Straight 20: AKs ×498s ×4AKo ×12
Set 9: QQ ×3JJ ×3TT ×3
Two pair 20: QJs ×3QTs ×2JTs ×2QJo ×6JTo ×7
Overpair 12: AA ×6KK ×6
Top pair 24: AQs ×3KQs ×3AQo ×9KQo ×9
Pocket pair below the top card 48: 99 ×688 ×677 ×666 ×655 ×644 ×633 ×622 ×6
Second pair or lower 42: AJs ×3ATs ×3KJs ×3KTs ×3T9s ×3AJo ×9ATo ×9KJo ×9
Flush draw + straight draw 2: A9s ×1A8s ×1
Flush draw 3: 87s ×176s ×165s ×1
Open-ended straight draw 6: A9s ×3A8s ×3
Gutshot 3: 87s ×3
Nothing 6: 76s ×365s ×3

Open this in the counter to add your own hand as blockers.

Maniac: 277 live combos

Straight 24: AKs ×4K9s ×498s ×4AKo ×12
Set 9: QQ ×3JJ ×3TT ×3
Two pair 27: QJs ×3QTs ×2JTs ×2QJo ×6QTo ×7JTo ×7
Overpair 12: AA ×6KK ×6
Top pair 27: AQs ×3KQs ×3Q9s ×3AQo ×9KQo ×9
Pocket pair below the top card 48: 99 ×688 ×677 ×666 ×655 ×644 ×633 ×622 ×6
Second pair or lower 66: AJs ×3ATs ×3KJs ×3KTs ×3J9s ×3T9s ×3T8s ×3AJo ×9ATo ×9KJo ×9KTo ×9T9o ×9
Flush draw + straight draw 3: A9s ×1A8s ×197s ×1
Flush draw 10: A7s ×1A6s ×1A5s ×1A4s ×1A3s ×1A2s ×187s ×176s ×165s ×154s ×1
Open-ended straight draw 21: A9s ×3A8s ×397s ×3A9o ×12
Gutshot 21: A7s ×3A6s ×3A5s ×3A4s ×3A3s ×3A2s ×387s ×3
Nothing 9: 76s ×365s ×354s ×3

Open this in the counter to add your own hand as blockers.

Reg: 142 live combos

Straight 20: AKs ×498s ×4AKo ×12
Set 9: QQ ×3JJ ×3TT ×3
Two pair 7: QJs ×3QTs ×2JTs ×2
Overpair 12: AA ×6KK ×6
Top pair 24: AQs ×3KQs ×3AQo ×9KQo ×9
Pocket pair below the top card 30: 99 ×688 ×677 ×666 ×655 ×6
Second pair or lower 24: AJs ×3ATs ×3KJs ×3KTs ×3T9s ×3AJo ×9
Flush draw 4: A5s ×1A4s ×187s ×176s ×1
Gutshot 9: A5s ×3A4s ×387s ×3
Nothing 3: 76s ×3

Open this in the counter to add your own hand as blockers.

Counted flops: four ranges side by side

The counting behind it

// what is counted and what is assumed

The counts are exact. Every combo in the range is dealt against the deck with the board and your cards removed. Nothing is sampled or rounded until display.
The ranges are assumptions. The four opponents are stated ranges, printed in full on /opponents so they can be argued with. They are not solver output, and nobody arrives on the flop with exactly these hands. Paste your own range into the counter to count yours.
Each combo is counted once, in its strongest bucket: top pair with a flush draw counts as top pair. Draws are only listed for hands without a pair.
Straight draws are counted by ranks: two ranks that complete a straight is open-ended (a double gutter counts), one is a gutshot. Board-only straights and flushes that need none of your cards do not count as draws.
Combos are not equity. A range with more sets is not automatically ahead: the equity calculator and spot check deal the run-outs.